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Simplifying 0.183 = 0.975(r + -0.12) + r Reorder the terms: 0.183 = 0.975(-0.12 + r) + r 0.183 = (-0.12 * 0.975 + r * 0.975) + r 0.183 = (-0.117 + 0.975r) + r Combine like terms: 0.975r + r = 1.975r 0.183 = -0.117 + 1.975r Solving 0.183 = -0.117 + 1.975r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.975r' to each side of the equation. 0.183 + -1.975r = -0.117 + 1.975r + -1.975r Combine like terms: 1.975r + -1.975r = 0.000 0.183 + -1.975r = -0.117 + 0.000 0.183 + -1.975r = -0.117 Add '-0.183' to each side of the equation. 0.183 + -0.183 + -1.975r = -0.117 + -0.183 Combine like terms: 0.183 + -0.183 = 0.000 0.000 + -1.975r = -0.117 + -0.183 -1.975r = -0.117 + -0.183 Combine like terms: -0.117 + -0.183 = -0.3 -1.975r = -0.3 Divide each side by '-1.975'. r = 0.1518987342 Simplifying r = 0.1518987342
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